جستجوی مقالات مرتبط با کلیدواژه « output weights » در نشریات گروه « ریاضی »

Data envelopment analysis models are able to rank decision-making units (DMUs) based on their efficiency scores‎. ‎In spite of the fact that there exists a unique ranking of inefficient DMUs‎, ‎ranking efficient DMUs is problematic‎. ‎However‎, ‎rather than ranking methods‎, ‎another way to choose one of the efficient units is to determine the most efficient DMU‎. ‎Up to the present‎, ‎many models have been proposed to rank DMUs and determine the most efficient one‎. ‎These models require solving nonlinear or integer programs‎, ‎which are NP-hard and time-consuming‎. ‎Considering efficient DMU's characteristics‎, ‎this paper proposes a procedure to find the most efficient DMU through some simple operations‎. ‎The validity of the proposed approach is verified and tested via some numerical examples.

Because of the piecewise linear nature of the data envelopment analysis (DEA) frontier, the optimal multipliers of the DEA models may not be unique. Choosing weights from alternative optimal solutions of dual multiplier models is one of the most frequently studied subjects in the context of DEA. In this paper, the authors have been inspired by the idea of Cooper et al. (2011) to propose a linear programming problem in which a specific decision making unit chooses the optimal solution of a linear program as the profile of weights for use in the cross-efficiency calculation. The approach proposed in this paper to determine input/output weights, prohibit the large differences in weights in cross efficiency evaluation. A real case on Chinese cities and special economic zones is given to illustrate the applicability of the proposed approach.